Every month, Ms. Moyer pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her saving account balance changed by -$3,219 from payments made on her car loan. What is the change in Ms.Moyer’s savings account balance each month due to to her car payment?

Answer:

The answer is 9

Step-by-step explanation:

The number marbles were neither red nor yellow is 9.

Given that, a bag of 28 marbles 1/4 the marbles were red and 3/7 were yellow.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, the number of red marbles = 1/4 × 28

= 7

The number of yellow marbles = 3/7 × 28

= 12

Total number of red and yellow marbles = 7+12 = 19

Neither red nor yellow = 28-19=9

Therefore, the number marbles were neither red nor yellow is 9.

To learn more about the unitary method visit:

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Answer:

$42

Step-by-step explanation:

D

Answer: (1, 0)

Step-by-step explanation:

1/3 means rise over run. Up one is Y=0, three over is +1 for the x coordinate.

Step-by-step explanation:

Answer:

Airplane covers a distance of approximately 50.265 feet in 4 minutes.

Step-by-step explanation:

From Rotation Physics we know that angular speed is the number of revolutions done by a particle at a given time. If the boy is twirling a model airplane at constant speed, then we calculate such variable as follows:

[tex]\dot n = \frac{n}{t}[/tex] (Eq. 1)

Where:

[tex]\dot n[/tex] - Angular speed, measured in revolutions per minute.

[tex]n[/tex] - Number of revolutions done by airplane, measured in revolutions.

[tex]t[/tex] - Time, measured in minutes.

Now we clear the number of revolutions done by airplane within expression:

[tex]n = \dot n \cdot t[/tex]

If we know that [tex]\dot n = 0.5\,\frac{rev}{min}[/tex] and [tex]t = 4\,min[/tex], then we get that number of revolutions is:

[tex]n = \left(0.5\,\frac{rev}{min} \right)\cdot (4\,min)[/tex]

[tex]n = 2\,rev[/tex]

The airplane made two revolutions in four minutes.

Now, the distance covered by the airplane ([tex]s[/tex]), measured in feet, is calculated by means of the equation below:

[tex]s = 2\pi\cdot l\cdot n[/tex]

Where:

[tex]l[/tex] - Length of the string, measured in meters.

[tex]n[/tex] - Number of revolutions done by airplane, measured in revolutions (dimensionless).

If we get that [tex]n = 2\,rev[/tex] and [tex]l = 4\,ft[/tex], then the distance covered by the airplane in 4 minutes is:

[tex]s = 2\pi\cdot (4\,ft)\cdot (2\,rev)[/tex]

[tex]s \approx 50.265\,ft[/tex]

Airplane covers a distance of approximately 50.265 feet in 4 minutes.

Answer:

it will be $.60

Step-by-step explanation:

divide 90 by 6 and get 15. multiply 4 by 15 and get 60!

4 ounces would be 0.60 cents

Answer:

x=52.5

Step-by-step explanation:

2/3x-5=30

2/3x=35

x=52.5

Answer:

9

Step-by-step explanation:

Expected number of defective is given as :

N x P = np

Where = number of the sample drawn from the production lot

P= percentage of bulbs In The lot which are defective

N = 15

P = 60% = 0.60

So when we do the multiplication,

We have:

NP = 15x0.60

= 9

So in conclusion the expected value of defective bulbs in the sample is 9.

Answer: it’s -32,0! - 10 on the left and -7 on the right because of you start at -12,14 you get the y value to 0 and increase by 10 since it is shown to be a increase in each x and y value

Step-by-step explanation:

Answer:

"if no deposits or withdrawals..." and "this account may generate income..." are both an Investment Account

Step-by-step explanation:

and the other two are for a savings account

This question is incomplete, the complete question is;

find the critical points and classify them as local maxima, local minima, saddle points, or none of these.

f(x,y) = (x + y)(xy + 1)

Answer:

(x,y) = (-1, 1), (1, -1) area critical points

f(xx) =2y, fyy =2x,f(xy) =2x + 2y, D = f(xx)fyy - f(xy² )

at (-1, 1)

f(xx) = 2 ,fyy =-2,f(xy) = 0, D = -4 < 0 saddle point

at (1, -1)

f(xx) = -2, fyy =2,f(xy) =0, D = -4 < 0 saddle point

Step-by-step explanation:

Given that;

f(x,y) = (x + y)(xy + 1)

f(x,y) =x²y + xy² + x + y

for critical points fx =0 ,fy =0

fx = 2xy + y² + 1 = 0, fy = x² + 2xy + 1 = 0

2xy + y² + 1 = 0, x²+ 2xy + 1 = 0

2xy + y² + 1 - x² - 2xy - 1 = 0

x² = y²

=> x = y, x = -y

2xy + y² + 1 = 0, x = y

2yy + y² + 1 = 0

3y² = -1 , no solution

2xy + y² + 1 = 0, x = -y

-2yy + y² + 1 = 0

=> -y2 + 1 = 0

=> y = -1, y = 1  

y = -1 => x = 1, y = 1 => x = -1  

(x,y) = (-1, 1), (1, -1) area critical points

f(xx) =2y, fyy =2x,f(xy) =2x + 2y, D = f(xx)fyy - f(xy² )

at (-1, 1)

f(xx) = 2 ,fyy =-2,f(xy) = 0, D = -4 < 0 saddle point

at (1, -1)

f(xx) = -2, fyy =2,f(xy) =0, D = -4 < 0 saddle point

Answer:

[tex]\dfrac{800 \pi}{7} \ miles/min[/tex]

Step-by-step explanation:

From the given information:

We learned that the light rotates 8 revolutions per minute.

Therefore;

[tex]\dfrac{d \theta}{d t}= \dfrac{8 * 2 \pi}{1 \ min}[/tex]

[tex]\dfrac{d \theta}{d t}= 16\pi \ rads/min\\[/tex]

From the trigonometry formula, the tanget of the lighthouse in relation to the  closest point on a straight shoreline can be expressed as:

[tex]tan \theta = \dfrac{x}{7}[/tex]

By differentiation with respect to t; we have:

[tex]\dfrac{d(tan \theta)}{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

[tex]\dfrac{d(tan \theta)}{d \theta}* \dfrac{d \theta}{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

By applying the chain rule:

[tex]sec^2 * \dfrac{d \theta }{d t} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

[tex](1 + tan ^2 \theta) \dfrac{d \theta }{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

When x = 3 ; we have [tex]tan \theta = \dfrac{1}{7}[/tex]

[tex]\bigg (1 + \dfrac{1}{49} \bigg ) \dfrac{d \theta }{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

Also;

[tex]\dfrac{d \theta}{d t}= 16\pi \ rads/min\\[/tex]

[tex]\bigg (1 + \dfrac{1}{49} \bigg ) 16 \pi = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

[tex]\bigg ( \dfrac{50}{7} \bigg ) 16 \pi = \dfrac{dx}{dt}[/tex]

[tex]\dfrac{dx}{dt} = \dfrac{800 \pi}{7} \ miles/min[/tex]

Answer: 3/4

Step-by-step explanation: 15 simplified is 3 and 20 simplified is 4

3/4

Answer: A

Step-by-step explanation: just took the test

Answer:

its 15

Step-by-step explanation:

i took the quiz and google

Answer:

15 lollsss

Step-by-step explanation:

Answer:your GPA is 3.914

Step-by-step explanation:your making me realized how stupid i am with those grades T-T

Answer:

Your answer is: x = 8/3 , -10/3

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

46.7

Step-by-step explanation:

3% of light is obliterated from this pane of glass

1-0.03

= 97% = 0.97

The function has been given as

P(n) = 100(0.97)^x

Let's take our x to be 25 just as the question says

P(n) = 100(0.97)²⁵

P(25) = 46.697

This is approximately equal to 46.7

Therefore the percentage of light that would pass through 25 panes is 46.7

Answer:

2 lip glosses

explanation

4x8= 32

50-32=18

2 lipglosses would be $20

32+20=52

52>50 meaning she qualifies for free shipping

4 eye shadows -- 8 x 4 = $32

lip glosses $10 -- 32 + 10 + 10 = $52

to qualify for free shipping, wendy needs to buy 2 lip glosses.

Answer:

Pb (Lead)

General Concepts:

The number of protons in the nucleus of an element determines where it is on the Periodic Table and what element it is.

Step-by-step explanation:

Given: 82 Protons

Looking at the Periodic Table, the element that has 82 protons is Lead (Pb).

Answer:

32

Step-by-step explanation:

[tex] \frac{8(8)}{2} = 32[/tex]

i think this is the answer

Answer:

32

Step-by-step explanation:

8 x 8 = 64

64/2 = 32

Hope this helps!

Answer: 30

Step-by-step explanation:

If s is 2, the new equation would be 15x2, which is 30.

Answer:

30

Step-by-step explanation:

[tex]15 \times 2 = 30[/tex]

I think this is the answer

Answer:

16.5cm

Step-by-step explanation:

[tex]perimeter = 2(l + w)\\l = 3 + w\\perimeter = 60\\2(l + w) = 60\\sub (l = 3 + w) for - l\\2((3+w) + w) = 60\\2(3 + w + w) = 60\\2(3 + 2w) = 60\\6 + 4w = 60\\4w = 60 - 6\\4w = 54\\w = \frac{54}{4}\\w = 13.5\\\\substitute- w= 13- into 2(l = 3 + w)\\l = 13.5 + 3\\l = 16.5[/tex]

Answer: a) Let x be a random variable that represents the number of brown M&M’s in a milk chocolate packet.

b) Mean =7.28

c) Variance = 6.2608

d) Standard deviation = 2.5022

Step-by-step explanation:

Given : The proportion of brown M&M’s in a milk chocolate packet is approximately : p=14% =0.14

We have outcomes for every randomly selection : 1) its in a milk chocolate packet 2) its not.

a) Let x be a random variable that represents the number of brown M&M’s in a milk chocolate packet.

So x follows binomial distribution.

b) Sample size : n=52  (given)

Mean [tex]= np = (0.14)(52) =7.28[/tex]

c) Variance = [tex]n p (1-p)= 52 (0.14)(1-0.14) =7.28(0.86)=6.2608[/tex]

d) Standard deviation =[tex]\sqrt{Variance}=\sqrt{6.2608}\approx2.5022[/tex]

Answer:

2(x - 562.5)

Factor out the 2